What is the Least Common Multiple of 71710 and 71730?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 71710 and 71730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71710 and 71730, than apply into the LCM equation.

GCF(71710,71730) = 10
LCM(71710,71730) = ( 71710 × 71730) / 10
LCM(71710,71730) = 5143758300 / 10
LCM(71710,71730) = 514375830

Least Common Multiple (LCM) of 71710 and 71730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71710 and 71730. First we will calculate the prime factors of 71710 and 71730.

Prime Factorization of 71710

Prime Factorization of 71730

Now multiplying the highest exponent prime factors to calculate the LCM of 71710 and 71730.

LCM(71710,71730) = 2¹ × 5¹ × 71¹ × 101¹ × 3² × 797¹
LCM(71710,71730) = 514375830